0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n162.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:51:38 CST 2018
0.00/0.24	% done 44 iterations in 0.025s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_4, conjecture,
0.00/0.24	  (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.24	     (((![Xq:app_encode_fun(a,$o)]:
0.00/0.24	          (((![Xw:a]:
0.00/0.24	               (app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                               Xw) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	            (![Xu:a,Xv:a]:
0.00/0.24	               ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                 app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                Xv)) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	           app_encode_app(a,$o,Xq,Xy))) & 
0.00/0.24	       (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	          (((![Xw:a]:
0.00/0.24	               (app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xy),
0.00/0.24	                               Xw) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	            (![Xu:a,Xv:a]:
0.00/0.24	               ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                 app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                Xv)) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	           app_encode_app(a,$o,Xq,Xz)))) =>
0.00/0.24	      (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	         (((![Xw:a]:
0.00/0.24	              (app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),Xw) =>
0.00/0.24	               app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	           (![Xu:a,Xv:a]:
0.00/0.24	              ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                               Xv)) =>
0.00/0.24	               app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	          app_encode_app(a,$o,Xq,Xz)))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.24	       (((![Xq:app_encode_fun(a,$o)]:
0.00/0.24	            (((![Xw:a]:
0.00/0.24	                 (app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                                 Xw) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	              (![Xu:a,Xv:a]:
0.00/0.24	                 ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                   app_encode_app(a,$o,
0.00/0.24	                                  app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                  Xv)) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	             app_encode_app(a,$o,Xq,Xy))) & 
0.00/0.24	         (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	            (((![Xw:a]:
0.00/0.24	                 (app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xy),
0.00/0.24	                                 Xw) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	              (![Xu:a,Xv:a]:
0.00/0.24	                 ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                   app_encode_app(a,$o,
0.00/0.24	                                  app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                  Xv)) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	             app_encode_app(a,$o,Xq,Xz)))) =>
0.00/0.24	        (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	           (((![Xw:a]:
0.00/0.24	                (app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                                Xw) =>
0.00/0.24	                 app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	             (![Xu:a,Xv:a]:
0.00/0.24	                ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                  app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                 Xv)) =>
0.00/0.24	                 app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	            app_encode_app(a,$o,Xq,Xz))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, X7, sk_Xu1(X7))
0.00/0.24	       | ~ app_encode_app(a, $o, X7, sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, X7, sk_Xu1(X7))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X5 : a, X6 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, X5)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, X5), X6)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X6)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu1(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['3'])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(X7)), 
0.00/0.24	           sk_Xv1(X7))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['5', '2'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['6'])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '2'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)),
0.00/0.24	    inference('simplify', [status(thm)], ['8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X8, sk_Xu(X8))
0.00/0.24	       | ~ app_encode_app(a, $o, X8, sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X8)), 
0.00/0.24	           sk_Xv(X8))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '2'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X4 : a]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, X4)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), X4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, sk_Xw(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, X8, sk_Xv(X8))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), 
0.00/0.24	         sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    (app_encode_app(a, $o, 
0.00/0.24	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.24	    inference('clc', [status(thm)], ['19', '14'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X8, sk_Xu(X8))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '14'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, sk_Xw(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('clc', [status(thm)], ['20', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X8)), 
0.00/0.24	           sk_Xv(X8))
0.00/0.24	       | ~ app_encode_app(a, $o, X8, sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['25', '2'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['24', '27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    (~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X8 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X8, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, X8, sk_Xv(X8))
0.00/0.24	       | ~ app_encode_app(a, $o, X8, sk_Xw(X8))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['29', '30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))),
0.00/0.24	    inference('clc', [status(thm)], ['32', '24'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain, app_encode_app(a, $o, sk_Xq, sk_Xy),
0.00/0.24	    inference('clc', [status(thm)], ['35', '24'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)),
0.00/0.24	    inference('demod', [status(thm)], ['9', '36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw1(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['37'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, X7, sk_Xv1(X7))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('40', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	         sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('sup-', [status(thm)], ['38', '39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (app_encode_app(a, $o, 
0.00/0.24	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['40'])).
0.00/0.24	tff('42', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xz),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('43', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	         sk_Xw1(sk_Xq))),
0.00/0.24	    inference('clc', [status(thm)], ['41', '42'])).
0.00/0.24	tff('44', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['43', '2'])).
0.00/0.24	tff('45', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['44', '36'])).
0.00/0.24	tff('46', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['45'])).
0.00/0.24	tff('47', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '46'])).
0.00/0.24	tff('48', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('demod', [status(thm)], ['47', '36'])).
0.00/0.24	tff('49', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('simplify', [status(thm)], ['48'])).
0.00/0.24	tff('50', plain, app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq)),
0.00/0.24	    inference('clc', [status(thm)], ['49', '42'])).
0.00/0.24	tff('51', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(X7)), 
0.00/0.24	           sk_Xv1(X7))
0.00/0.24	       | ~ app_encode_app(a, $o, X7, sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('52', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, X0, sk_Xw1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['51', '2'])).
0.00/0.24	tff('53', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu1(X0))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xv1(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, X0, sk_Xw1(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['52'])).
0.00/0.24	tff('54', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['50', '53'])).
0.00/0.24	tff('55', plain,
0.00/0.24	    (~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('simplify', [status(thm)], ['54'])).
0.00/0.24	tff('56', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))),
0.00/0.24	    inference('clc', [status(thm)], ['55', '42'])).
0.00/0.24	tff('57', plain,
0.00/0.24	    ![X7 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X7, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, X7, sk_Xv1(X7))
0.00/0.24	       | ~ app_encode_app(a, $o, X7, sk_Xw1(X7))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('58', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('sup-', [status(thm)], ['56', '57'])).
0.00/0.24	tff('59', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('demod', [status(thm)], ['58', '50'])).
0.00/0.24	tff('60', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['59'])).
0.00/0.24	tff('61', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xu1(sk_Xq)),
0.00/0.24	    inference('clc', [status(thm)], ['60', '42'])).
0.00/0.24	tff('62', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '61'])).
0.00/0.24	tff('63', plain, (~ $true | ~ $true | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('demod', [status(thm)], ['62', '50'])).
0.00/0.24	tff('64', plain, app_encode_app(a, $o, sk_Xq, sk_Xz),
0.00/0.24	    inference('simplify', [status(thm)], ['63'])).
0.00/0.24	tff('65', plain, ~ $true, inference('sup-', [status(thm)], ['64', '42'])).
0.00/0.24	tff('66', plain, $false, inference('simplify', [status(thm)], ['65'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
